{"id":"https://openalex.org/W4324053230","doi":"https://doi.org/10.1007/s10589-023-00465-4","title":"Optimality conditions for Tucker low-rank tensor optimization","display_name":"Optimality conditions for Tucker low-rank tensor optimization","publication_year":2023,"publication_date":"2023-03-13","ids":{"openalex":"https://openalex.org/W4324053230","doi":"https://doi.org/10.1007/s10589-023-00465-4"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-023-00465-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-023-00465-4","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071190011","display_name":"Ziyan Luo","orcid":"https://orcid.org/0000-0002-4926-5929"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziyan Luo","raw_affiliation_strings":["School of Mathematics and Statistics, Beijing Jiaotong University, Beijing, 100044, China","School of Mathematics and Statistics, Beijing Jiaotong University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Jiaotong University, Beijing, 100044, China","institution_ids":["https://openalex.org/I21193070"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011886900","display_name":"Liqun Qi","orcid":"https://orcid.org/0000-0002-1112-5250"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]},{"id":"https://openalex.org/I2250955327","display_name":"Huawei Technologies (China)","ror":"https://ror.org/00cmhce21","country_code":"CN","type":"company","lineage":["https://openalex.org/I2250955327"]}],"countries":["CN","HK"],"is_corresponding":true,"raw_author_name":"Liqun Qi","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China","Future Network Theory Lab, 2012 Labs Huawei Technologies Investment Co., Ltd, Shatin, New Territory, Hong Kong, China","Future Network Theory Lab, 2012 Labs Huawei Technologies Investment Co., Ltd, Shatin, New Territory, China","Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Future Network Theory Lab, 2012 Labs Huawei Technologies Investment Co., Ltd, Shatin, New Territory, Hong Kong, China","institution_ids":["https://openalex.org/I2250955327"]},{"raw_affiliation_string":"Future Network Theory Lab, 2012 Labs Huawei Technologies Investment Co., Ltd, Shatin, New Territory, China","institution_ids":["https://openalex.org/I2250955327"]},{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, China","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011886900"],"corresponding_institution_ids":["https://openalex.org/I14243506","https://openalex.org/I2250955327"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.652,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60330579,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"86","issue":"3","first_page":"1275","last_page":"1298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.700202226638794},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6863351464271545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6838998794555664},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.6675971150398254},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.6116973161697388},{"id":"https://openalex.org/keywords/tucker-decomposition","display_name":"Tucker decomposition","score":0.61041259765625},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5890077948570251},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.557749330997467},{"id":"https://openalex.org/keywords/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.41392382979393005},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41003307700157166},{"id":"https://openalex.org/keywords/tensor-decomposition","display_name":"Tensor decomposition","score":0.2784454822540283},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12337911128997803},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12008810043334961}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.700202226638794},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6863351464271545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6838998794555664},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.6675971150398254},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.6116973161697388},{"id":"https://openalex.org/C42704193","wikidata":"https://www.wikidata.org/wiki/Q7851097","display_name":"Tucker decomposition","level":4,"score":0.61041259765625},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5890077948570251},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.557749330997467},{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.41392382979393005},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41003307700157166},{"id":"https://openalex.org/C2986737658","wikidata":"https://www.wikidata.org/wiki/Q30103009","display_name":"Tensor decomposition","level":3,"score":0.2784454822540283},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12337911128997803},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12008810043334961},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-023-00465-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-023-00465-4","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:86:y:2023:i:3:d:10.1007_s10589-023-00465-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-023-00465-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W1580176742","https://openalex.org/W1885765327","https://openalex.org/W1993468393","https://openalex.org/W1993482030","https://openalex.org/W1999136078","https://openalex.org/W2013912476","https://openalex.org/W2018282388","https://openalex.org/W2019209419","https://openalex.org/W2024165284","https://openalex.org/W2025105545","https://openalex.org/W2039588376","https://openalex.org/W2043571470","https://openalex.org/W2055913665","https://openalex.org/W2081962379","https://openalex.org/W2115402677","https://openalex.org/W2129131372","https://openalex.org/W2136002544","https://openalex.org/W2145486464","https://openalex.org/W2469230926","https://openalex.org/W2611328865","https://openalex.org/W2794566895","https://openalex.org/W2801961186","https://openalex.org/W2898199757","https://openalex.org/W2903839289","https://openalex.org/W2943013304","https://openalex.org/W2963472624","https://openalex.org/W2963885538","https://openalex.org/W2963924474","https://openalex.org/W2982442545","https://openalex.org/W2989894248","https://openalex.org/W3005040051","https://openalex.org/W3008842210","https://openalex.org/W3014571813","https://openalex.org/W3021574402","https://openalex.org/W3033283747","https://openalex.org/W3037066305","https://openalex.org/W3080655271","https://openalex.org/W3080660600","https://openalex.org/W3119217665","https://openalex.org/W3135863364","https://openalex.org/W3157219074","https://openalex.org/W3163348535","https://openalex.org/W3169471969","https://openalex.org/W4205293427","https://openalex.org/W4205793477","https://openalex.org/W4206327002","https://openalex.org/W4229749918","https://openalex.org/W4244493851","https://openalex.org/W4245490374","https://openalex.org/W4250955649","https://openalex.org/W6605438980"],"related_works":["https://openalex.org/W4306873621","https://openalex.org/W1964486052","https://openalex.org/W3126714755","https://openalex.org/W4210310559","https://openalex.org/W2809075421","https://openalex.org/W2891735857","https://openalex.org/W2807256486","https://openalex.org/W3088979390","https://openalex.org/W3102489672","https://openalex.org/W2391309548"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-01-20T17:24:06.736184","created_date":"2025-10-10T00:00:00"}
